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Finding the Fourth Proportional to 31,198.33, 43,053.68 and 17,770.82

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Solution

The fourth proportional to 31,198.33, 43,053.68 and 17,770.82 is: 24,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.33 : 43,053.68 = 17,770.82 : x
  2. Step 2: Convert to fraction form
    31,198.33/43,053.68 = 17,770.82/x
  3. Step 3: Cross multiply
    31,198.33x = 43,053.68 × 17,770.82
  4. Step 4: Simplify right side
    31,198.33x = 765,099,349.68
  5. Step 5: Solve for x
    x = 765,099,349.68/31,198.33
  6. Step 6: Final answer
    x = 24,523.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.